White's conjecture for matroids and inner projections
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866929690895187968 |
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| author | Han, Kangjin Michałek, Mateusz Weigert, Julian |
| author_facet | Han, Kangjin Michałek, Mateusz Weigert, Julian |
| contents | White's conjecture predicts quadratic generators for the ideal of any matroid base polytope. We prove that White's conjecture for any matroid $M$ implies it also for any matroid $M'$, where $M$ and $M'$ differ by one basis. Our study is motivated by inner projections of algebraic varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17738 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | White's conjecture for matroids and inner projections Han, Kangjin Michałek, Mateusz Weigert, Julian Combinatorics Commutative Algebra 05B35, 52B40, 13F65 White's conjecture predicts quadratic generators for the ideal of any matroid base polytope. We prove that White's conjecture for any matroid $M$ implies it also for any matroid $M'$, where $M$ and $M'$ differ by one basis. Our study is motivated by inner projections of algebraic varieties. |
| title | White's conjecture for matroids and inner projections |
| topic | Combinatorics Commutative Algebra 05B35, 52B40, 13F65 |
| url | https://arxiv.org/abs/2501.17738 |